Elementary Numerical Analysis HM5Q4PFE8E

URI	`m2://res/HM5Q4PFE8E`
Kind	course
Creators	Rekha P. Kulkarni (instructor)
Date	2015-01-07
Scope	in
Ids	course 02qyf5152:111101003

Expressions

e1: edition

Language	en
Date	2015-01-07

m1: page, IIT Bombay (record). nptel 111101003
m2: page, 2015-01-07 (record). nptel 111101003

Contents

part 1: Elementary Numerical Analysis
session 1: L1- Introduction
session 2: L2-Polynomial Approximation
session 3: L3-Interpolating Polynomials
session 4: L4-Properties of Divided Difference
session 5: L5-Error in the Interpolating polynomial
session 6: L6-Cubic Hermite Interpolation
session 7: L7-Piecewise Polynomial Approximation
session 8: L8-Cubic Spline Interpolation
session 9: L9-Tutorial 1
session 10: L10-Numerical Integration: Basic Rules
session 11: L11-Composite Numerical Integration
session 12: L12-Gauss 2-point Rule: Construction
session 13: L13-Gauss 2-point Rule: Error
session 14: L14-Convergence of Gaussian Integration
session 15: L15-Tutorial 2
session 16: L16-Numerical Differentiation
session 17: L17-Gauss Elimination
session 18: L18-L U decomposition
session 19: L19-Cholesky decomposition
session 20: L20-Gauss Elimination with partial pivoting
session 21: L21-Vector and Matrix Norms
session 22: L22-Perturbed Linear Systems
session 23: L23-Ill-conditioned Linear System
session 24: L24-Tutorial 3
session 25: L25-Effect of Small Pivots
session 26: L26-Solution of Non-linear Equations
session 27: L27-Quadratic Convergence of Newton's Method
session 28: L28-Jacobi Method
session 29: L29-Gauss-Seidel Method
session 30: L30-Tutorial 4
session 31: L31-Initial Value Problem
session 32: L32-Multi-step Methods
session 33: L33-Predictor-Corrector Formulae
session 34: L34-Boundary Value Problems
session 35: L35-Eigenvalues and Eigenvectors
session 36: L36-Spectral Theorem
session 37: L37-Power Method
session 38: L38-Inverse Power Method
session 39: L39-Q R Decomposition
session 40: L40-Q R Method

Catalogue records

nptel: 111101003 (manifestation)
nptel_video: 111101003 (manifestation)